λ
Harmonic Matrix

1,602,308

22 × 19 × 29 × 727
Deficient Even Composite

1,602,308 has digital root 2. The neighboring primes are 1602283 and 1602311; its proper-divisor sum differs from the starting integer by -147,016.

Prime Factor Structure

Factorization String 2^2 × 19 × 29 × 727
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,057,600
Proper Divisor Sum 1,455,292
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1602283 ← → #1602311

Radix Representation

Decimal 1602308
Binary 110000111001100000100 (21 bits)
Octal 0o6071404
Hexadecimal 0x187304

Divisor Catalog (24)

1 2 4 19 29 38 58 76 116 551 727 1,102 1,454 2,204 2,908 13,813 21,083 27,626 42,166 55,252 84,332 400,577 801,154 1,602,308

Collatz Trajectory (70 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,602,308 801,154 400,577 1,201,732 600,866 300,433 901,300 450,650 225,325 675,976 337,988 168,994 84,497 253,492 126,746 63,373 190,120 95,060 47,530 23,765 71,296 35,648 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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